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Finding the Fourth Proportional to 177,785.56, 245,405.86 and 102,364.12

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Solution

The fourth proportional to 177,785.56, 245,405.86 and 102,364.12 is: 141,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,785.56 : 245,405.86 = 102,364.12 : x
  2. Step 2: Convert to fraction form
    177,785.56/245,405.86 = 102,364.12/x
  3. Step 3: Cross multiply
    177,785.56x = 245,405.86 × 102,364.12
  4. Step 4: Simplify right side
    177,785.56x = 25,120,754,901.74
  5. Step 5: Solve for x
    x = 25,120,754,901.74/177,785.56
  6. Step 6: Final answer
    x = 141,298.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.